I tried
\usepackage{breqn}

but then I get an error:

LaTeX Font Info:    ... okay on input line 125.
LaTeX Font Info:    Checking defaults for FMS/futm/m/n on input line 125.
LaTeX Font Info:    Try loading font information for FMS+futm on input line 125
.
(/usr/share/texlive/texmf-dist/tex/latex/fourier/fmsfutm.fd
File: fmsfutm.fd 2004/10/30 Fontinst v1.926 font definitions for FMS/futm.
)
LaTeX Font Info:    ... okay on input line 125.
LaTeX Font Info:    Checking defaults for FMX/futm/m/n on input line 125.
LaTeX Font Info:    Try loading font information for FMX+futm on input line 125
.
(/usr/share/texlive/texmf-dist/tex/latex/fourier/fmxfutm.fd
File: fmxfutm.fd futm-extension
)
LaTeX Font Info:    ... okay on input line 125.
LaTeX Font Info:    Checking defaults for TS1/cmr/m/n on input line 125.
LaTeX Font Info:    Try loading font information for TS1+cmr on input line 125.

(/usr/share/texlive/texmf-dist/tex/latex/base/ts1cmr.fd
File: ts1cmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions
)
LaTeX Font Info:    ... okay on input line 125.
LaTeX Font Info:    Checking defaults for PD1/pdf/m/n on input line 125.
LaTeX Font Info:    ... okay on input line 125.
LaTeX Font Info:    Checking defaults for PU/pdf/m/n on input line 125.
LaTeX Font Info:    ... okay on input line 125.
LaTeX Font Info:    Try loading font information for T1+futs on input line 125.

(/usr/share/texlive/texmf-dist/tex/latex/fourier/t1futs.fd
File: t1futs.fd 2004/03/02 Fontinst v1.926 font definitions for T1/futs.
)
LaTeX Info: Redefining \degres on input line 125.

Package frenchb.ldf Warning: The definition of \@makecaption has been changed,
(frenchb.ldf)                frenchb will NOT customise it;
(frenchb.ldf)                reported on input line 125.

LaTeX Info: Redefining \dots on input line 125.
LaTeX Info: Redefining \up on input line 125.
\AtBeginShipoutBox=\box74
Package hyperref Info: Link coloring OFF on input line 125.
(/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty
Package: nameref 2012/10/27 v2.43 Cross-referencing by name of section
(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/gettitlestring.sty
Package: gettitlestring 2010/12/03 v1.4 Cleanup title references (HO)
)
\c@section@level=\count185
)
LaTeX Info: Redefining \ref on input line 125.
LaTeX Info: Redefining \pageref on input line 125.
LaTeX Info: Redefining \nameref on input line 125.
(./NO2_threshold.out) (./NO2_threshold.out)
\@outlinefile=\write5
\openout5 = `NO2_threshold.out'.

LaTeX Info: Redefining \microtypecontext on input line 125.
Package microtype Info: Generating DVI output.
Package microtype Info: Character protrusion enabled (level 2).
Package microtype Info: Using default protrusion set `alltext'.
Package microtype Info: No font expansion.
Package microtype Info: No adjustment of tracking.
Package microtype Info: No adjustment of interword spacing.
Package microtype Info: No adjustment of character kerning.
Package microtype Info: Loading generic settings for font family
(microtype)             `futs' (encoding: T1).
(microtype)             For optimal results, create family-specific settings.
(microtype)             See the microtype manual for details.
Package caption Info: Begin \AtBeginDocument code.
Package caption Info: subfig package v1.3 is loaded.
Package caption Info: End \AtBeginDocument code.
Class revtex4-1 Info: Taking \maketitle back from hyperref on input line 125.
\openout3 = `NO2_thresholdNotes.bib'.

LaTeX Font Info:    Try loading font information for FML+futmi on input line 14
6.
(/usr/share/texlive/texmf-dist/tex/latex/fourier/fmlfutmi.fd
File: fmlfutmi.fd 2004/10/30 Fontinst v1.926 font definitions for FML/futmi.
)
LaTeX Font Info:    Font shape `FMX/futm/m/n' will be
(Font)              scaled to size 10.07397pt on input line 146.
LaTeX Font Info:    Font shape `FMX/futm/m/n' will be
(Font)              scaled to size 7.63599pt on input line 146.
LaTeX Font Info:    Font shape `FMX/futm/m/n' will be
(Font)              scaled to size 5.51999pt on input line 146.
LaTeX Font Info:    Font shape `U/futm/m/n' will be
(Font)              scaled to size 10.07397pt on input line 146.
LaTeX Font Info:    Font shape `U/futm/m/n' will be
(Font)              scaled to size 7.63599pt on input line 146.
LaTeX Font Info:    Font shape `U/futm/m/n' will be
(Font)              scaled to size 5.51999pt on input line 146.
Missing character: There is no ^^L in font fourier-mex!
LaTeX Font Info:    Font shape `T1/futs/bx/n' in size <14.4> not available
(Font)              Font shape `T1/futs/b/n' tried instead on input line 168.
LaTeX Font Info:    Font shape `FMX/futm/m/n' will be
(Font)              scaled to size 13.24796pt on input line 168.
LaTeX Font Info:    Font shape `FMX/futm/m/n' will be
(Font)              scaled to size 9.19998pt on input line 168.
LaTeX Font Info:    Font shape `FMX/futm/m/n' will be
(Font)              scaled to size 7.35999pt on input line 168.
LaTeX Font Info:    Font shape `U/futm/m/n' will be
(Font)              scaled to size 13.24796pt on input line 168.
LaTeX Font Info:    Font shape `U/futm/m/n' will be
(Font)              scaled to size 9.19998pt on input line 168.
LaTeX Font Info:    Font shape `U/futm/m/n' will be
(Font)              scaled to size 7.35999pt on input line 168.
Missing character: There is no ^^L in font fourier-mex!
! Missing $ inserted.
<inserted text> 
                $
l.168 \maketitle
                
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

LaTeX Font Info:    Font shape `FMX/futm/m/n' will be
(Font)              scaled to size 11.03998pt on input line 168.
LaTeX Font Info:    Font shape `FMX/futm/m/n' will be
(Font)              scaled to size 8.27998pt on input line 168.
LaTeX Font Info:    Font shape `FMX/futm/m/n' will be
(Font)              scaled to size 6.43999pt on input line 168.
LaTeX Font Info:    Font shape `U/futm/m/n' will be
(Font)              scaled to size 11.03998pt on input line 168.
LaTeX Font Info:    Font shape `U/futm/m/n' will be
(Font)              scaled to size 8.27998pt on input line 168.
LaTeX Font Info:    Font shape `U/futm/m/n' will be
(Font)              scaled to size 6.43999pt on input line 168.
Missing character: There is no ^^L in font fourier-mex!

LaTeX Warning: Command \' invalid in math mode on input line 168.


LaTeX Warning: Command \^ invalid in math mode on input line 168.

! Missing $ inserted.
<inserted text> 
                $
l.168 \maketitle



===========================================================================
 Patrick DUPRÉ                                 | | email: pdu...@gmx.com
 Laboratoire de Physico-Chimie de l'Atmosphère | |
 Université du Littoral-Côte d'Opale           | |
 Tel.  (33)-(0)3 28 23 76 12                   | | Fax: 03 28 65 82 44
 189A, avenue Maurice Schumann                 | | 59140 Dunkerque, France
===========================================================================


> Sent: Monday, June 30, 2014 at 5:31 PM
> From: "Patrick Dupre" <pdu...@gmx.com>
> To: lyx <lyx-users@lists.lyx.org>
> Subject: Formula in the margin
>
> Hello,
> 
> I have a small issue with a paper. Formula spreads in right margin.
> Is there a way to prevent such a result?
> I am attaching an example.
> 
> Thank for your help.
> 
> Regards.
> 
> ===========================================================================
>  Patrick DUPRÉ                                 | | email: pdu...@gmx.com
>  Laboratoire de Physico-Chimie de l'Atmosphère | |
>  Université du Littoral-Côte d'Opale           | |
>  Tel.  (33)-(0)3 28 23 76 12                   | | Fax: 03 28 65 82 44
>  189A, avenue Maurice Schumann                 | | 59140 Dunkerque, France
> ===========================================================================
>

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